The number 11024
11024 is a composite number with 20 divisors. Its prime factorisation is × 13 × 53. Divisors (20): 1, 2, 4, 8, 13, 16, 26, 52, 53, 104, 106, 208, 212, 424, 689, 848 … 11024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11024: a Harshad number: divisible by its digit sum 8.
- 2
11024 is composite. Its prime factorisation is
- 3
The divisors add up to 23436; without 11024 itself that is 12412, so 11024 is abundant (12412 is more than 11024). Euler's totient φ(11024) = 4992 numbers up to 11024 share no factor with it.
- 4
The digits of 11024 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11024 = 2^{4} \times 13 \times 53 \]11024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 23436 |
| Euler totient φ(n) | 4992 |
| Square | 121528576 |
| Cube | 1339731021824 |
| Square root | 104.995238 (= 4√689) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 130 |
| Scientific notation | 1.1024 × |
11024 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand and twenty-four |
| Binary (base 2) | 10101100010000 |
| Octal (base 8) | 25420 |
| Hexadecimal (base 16) | 2B10 |
| Base 3 | 120010022 |
| As time | 11024 seconds = 3 h 3 min 44 s |
Is 11024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11024 ÷ 2 = 5512) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11024 ÷ 4 = 2756) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (11024 ÷ 8 = 1378) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11024 a prime number?
No. 11024 = × 13 × 53, so it is divisible by 2.
What are the factors of 11024?
1, 2, 4, 8, 13, 16, 26, 52, 53, 104, 106, 208, 212, 424, 689, 848, 1378, 2756, 5512, 11024.
What is 11024 in binary?
10101100010000 (hexadecimal 2B10, octal 25420).
What is the square root of 11024?
About 104.9952, exactly 4√689.
Is 11024 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 11024?
11024 is a Harshad number: divisible by its digit sum 8.